# Definition:Statement Form

## Definition

A **statement form** is a symbolic representation of a compound statement.

It consists of statement variables along with logical connectives joining them.

It is traditional, particularly in the field of mathematical logic, to use lowercase Greek letters to stand for general formulas (the usual ones being $\phi, \psi$ and $\chi$), but more modern treatments are starting to use ordinary lowercase letters of the English alphabet, usually $p, q, r$ etc.

### Specific Form

The **specific form** of a given statement is that propositional formula from which the statement form results from replacing each distinct statement variable by a different simple statement.

## Also known as

There are various names for this concept, for example:

**statement scheme**or**schema****symbolic sentence****logical form**.

When discussing propositional logic, the terms **logical formula** or **propositional formula** are also used.

## Also see

- Logical Formula: A well-formed formula of a formal language used for symbolic logic.
- Propositional Formula: The logical formulae used to discuss propositional logic.

## Sources

- 1978: Alan G. Hamilton:
*Logic for Mathematicians*... (previous) ... (next): $\S 1.1$: Statements and connectives - 1980: D.J. O'Connor and Betty Powell:
*Elementary Logic*... (previous) ... (next): $\S \text{I}: 3$: Logical Constants $(2)$